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Simplifying 6n + 5 + -4n + -2 = 14n + -33 Reorder the terms: 5 + -2 + 6n + -4n = 14n + -33 Combine like terms: 5 + -2 = 3 3 + 6n + -4n = 14n + -33 Combine like terms: 6n + -4n = 2n 3 + 2n = 14n + -33 Reorder the terms: 3 + 2n = -33 + 14n Solving 3 + 2n = -33 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 3 + 2n + -14n = -33 + 14n + -14n Combine like terms: 2n + -14n = -12n 3 + -12n = -33 + 14n + -14n Combine like terms: 14n + -14n = 0 3 + -12n = -33 + 0 3 + -12n = -33 Add '-3' to each side of the equation. 3 + -3 + -12n = -33 + -3 Combine like terms: 3 + -3 = 0 0 + -12n = -33 + -3 -12n = -33 + -3 Combine like terms: -33 + -3 = -36 -12n = -36 Divide each side by '-12'. n = 3 Simplifying n = 3
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